The living room is 2 inches = 5 feet. The family wants to change it to 15 inches. If the width of the living room on the original blueprint was 6 inches and the length is 9.6 inches. What are the scale and width of the new blueprint?

Part a) The scale of the new blueprint is      

Part b) The width of the living room in the new blueprint is  

Step-by-step explanation:  

we know that  

The scale of the original blueprint is

and  

the width of the living room on the original blueprint is 6 inches

so  

Find the actual width of the living room, using proportion

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1